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Finding the Fourth Proportional to 157,250, 235,875 and 46,450.64

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Solution

The fourth proportional to 157,250, 235,875 and 46,450.64 is: 69,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,250 : 235,875 = 46,450.64 : x
  2. Step 2: Convert to fraction form
    157,250/235,875 = 46,450.64/x
  3. Step 3: Cross multiply
    157,250x = 235,875 × 46,450.64
  4. Step 4: Simplify right side
    157,250x = 10,956,544,710
  5. Step 5: Solve for x
    x = 10,956,544,710/157,250
  6. Step 6: Final answer
    x = 69,675.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.